The monthly income in dollars for seven sales persons at a car dealership are 2450 2275 2425 4700 2650 2350 2475a. calculate the mean and median salary.b. which of the two is preferable as a measure of center, and why?
Question
Answer:
Put all the numbers in chronological order:2275
2350
2425
2450
2475
2650
4700
Median: $2450
Median salary is the middle number of $2450. If there was an even set of numbers, you would average the two middle numbers to find the median.
Mean: $2760.71
Total all numbers, then divide by the quantity of numbers to get the mean.
2275+2350+2425+2450+2475+2650+4700= 19325÷7= $2760.71
The median is the preferable measure of center because it is a closer representative of the numbers in the given set. 4700 is not closely representative and will increase the mean too much to be closely representative of the measure of center.
Hope this helps! :)
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